Constant Curvature Conditions For Generalized Kropina Spaces

TL;DR

This paper establishes necessary and sufficient conditions for generalized Kropina Finsler spaces to have constant flag curvature, advancing the classification of such spaces in differential geometry.

Contribution

It provides the first complete characterization of constant flag curvature in generalized Kropina spaces, filling a gap in Finsler geometry literature.

Findings

Derived explicit conditions for constant flag curvature

Extended classification framework for generalized Kropina spaces

Enhanced understanding of curvature properties in Finsler geometry

Abstract

The classification of Finsler spaces of constant curvature is an interesting and important topic of research in differential geometry. In this paper we obtain necessary and sufficient conditions for generalized Kropina space to be of constant flag curvature.